Guaranteed control of switched control systems using model order reduction and state-space bisection

Abstract : This paper considers discrete-time linear systems controlled by a quantized law, i.e., a piecewise constant time function taking a finite set of values. We show how to generate the control by, first, applying model reduction to the original system, then using a "state-space bisection" method for synthesizing a control at the reduced-order level, and finally computing an upper bound to the deviations between the controlled output trajectories of the reduced-order model and those of the original model. The effectiveness of our approach is illustrated on several examples of the literature.
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Article dans une revue
Open Access Series in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015, 44, pp.33-47. 〈10.4230/OASIcs.SynCoP.2015.33〉
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https://hal.archives-ouvertes.fr/hal-01241746
Contributeur : Ludovic Chamoin <>
Soumis le : jeudi 10 décembre 2015 - 23:08:42
Dernière modification le : mardi 18 décembre 2018 - 11:28:06

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Adrien Le Coent, Florian De Vuyst, Christian Rey, Ludovic Chamoin, Laurent Fribourg. Guaranteed control of switched control systems using model order reduction and state-space bisection. Open Access Series in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015, 44, pp.33-47. 〈10.4230/OASIcs.SynCoP.2015.33〉. 〈hal-01241746〉

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